A line segment with endpoints at (-1 , 6 ) and (-7, 3 ) is rotated clockwise by pi . What are the new endpoints of the line segment?

1 Answer
Jim G.
Jun 13, 2016

(-1 ,6) → (1 ,-6) and (-7 ,3) → (7 ,-3)

Explanation:

I am assuming this is a rotation about the origin.

Under a rotation about the origin of pi

a point (x ,y) → (-x ,-y)

Note these would be the same points if they were rotated anti-clockwise by pi about the origin.

hence (-1 ,6) → (1 ,-6) and (-7 ,3) → (7 ,-3)

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